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Finding the Third Proportional to 235,275 and 509,302

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Solution

The third proportional to 235,275 and 509,302 is: 1,102,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,275 : 509,302 = 509,302 : x
  2. Step 2: Convert to fraction form
    235,275/509,302 = 509,302/x
  3. Step 3: Cross multiply
    235,275x = 509,302 × 509,302
  4. Step 4: Simplify right side
    235,275x = 259,388,527,204
  5. Step 5: Solve for x
    x = 259,388,527,204/235,275
  6. Step 6: Final answer
    x = 1,102,490.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.